Determine the symmetry representations of CO stretching vibrations of a Mn(CO)5Br complex, which has a pseudo-octahedral structure with CO ligands at five corners and a Br ligand at the sixth corner. Which of the CO stretching vibrations are active in IR absorption and which in Raman spectra? can you show graphically

Consider the octahedral complex [FeBr6] 4−. In water solution it has an absorption peak at 864 nm with a molar absorptivity (ε) of 3.6 L mol-1 cm-1 .  (I have a, b, and c, I need help with d, e, and f.) (a) What is the energy (in wavenumbers, cm-1 ) of the absorption peak? Show all work. (b) How many valence d electrons does the metal center have? Justify your answer. (c) How many unpaired electrons per molecule would a magnetic susceptibility experiment predict? What would the S number be for this transition metal center? Justify your answers. (d) What electronic transition results from absorption of 864-nm light? (e) Calculate the ligand stabilization energy (in units of ∆o) and units of coulombic (Πc) energy. (f) How would the ligand field strengths (∆o) of [Fe(NH3)6] 2+ and [Fe(bipy)3] 2+ differ from that of [FeBr6] 4−? Why?

Mn(acac)3 was found to have its ground state to 1st excited state absorption at 500 nm (Δo). The pairing energy for this complex is 28,000 cm-1 . Based on this information, draw the populated ground state d orbital diagram for this complex.

A hypothetical metal M forms the following complexes with the generalized ligands X, Y, and Z:   Complex ion Observed color [M(X)6]3+ green [M(Y)6]3+ blue [M(Z)6]3+ yellow Order these ligands according to their ability to split d orbitals. In other words, set up a spectrochemical series, from strongest to weakest ligand field strength. Rank from strongest to weakest ligand field strength.    -X -Z -Y

What is the ligand field stabilization energy for a high spin d6 complex in terms of Δ0?

2. Consider a hypothetical trigonal bipyramidal Fe(III) complex [FeF2(OH)3]². We need to divide the five donor atoms of the ligands into two groups: 2F and 30. F HO FeOH F OH (a) Identify the point group of the complex and assign x, y, and z to it. (b) Indicate the symmetries of the Fe valence orbitals, i.e., 3d, 4s, and 4p. (c) Derive the symmetries and expressions of the two F σ-SALCs, considering that each F. atom contributes one 2p orbital with a lone pair to form the σ-SALCs. (d) Derive the symmetries and expressions of the three σ-SALCs on the OH ligands, considering that each O atom contributes one 2p orbital with a lone pair to form the σ- SALCs. (e) Draw a σ bonding-only MO energy level diagram for the complex, mark the MOs with symmetry labels, and fill the MOS with the valence electrons. (f) Consider each O atom contributing one perpendicular 2p orbital to form π-SALCs. Derive the symmetries of the three л-SALCS. (g) Identify the MOs in (e) with which the O л-SALCs interact,…